Pannini’s Pizza Parlor advertises that you could get a one-topping pizza from them once a week for over two years and never have exactly the same pizza.

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Presentation on theme: "Pannini’s Pizza Parlor advertises that you could get a one-topping pizza from them once a week for over two years and never have exactly the same pizza."— Presentation transcript:

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Pannini’s Pizza Parlor advertises that you could get a one-topping pizza from them once a week for over two years and never have exactly the same pizza twice! Are they correct? Here is their menu How many triangles are there in the 4, 5 and 6 th triangles if there are 1 in the first, 3 in the second and 6 in the third? Type of CrustSizesToppings ThinSmallCheese PepperoniChicken Ground BeefSausageGreen Pepper OnionEggplant Sun-Dried Tomato AnchoviesOlivesMushrooms SpinachPineapple RegularMedium Deep DishLarge 1234

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Pannini’s Pizza Parlor advertises that you could get a one-topping pizza from them once a week for over two years and never have exactly the same pizza twice! Are they correct? Here is their menu Type of CrustSizesToppings ThinSmallCheese PepperoniChicken Ground BeefSausageGreen Pepper OnionEggplant Sun-Dried Tomato AnchoviesOlivesMushrooms SpinachPineapple RegularMedium Deep DishLarge

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How many triangles are there in the 4, 5 and 6 th triangles if there are 1 in the first, 3 in the second and 6 in the third? 1234

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The Concept  Today we’re going to be talking about a relatively basic topic, but one that is very important to our discussion of geometry, specifically in regards to areas and three dimensional solids

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Line of Symmetry -Imaginary line drawn that creates a reproduced piece of an object

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There are primarily two kinds of lines of symmetry BilateralBilateral Splits the object exactly in halfSplits the object exactly in half Rotational or RadialRotational or Radial Reproduces a piece of the object as it rotates about a centerReproduces a piece of the object as it rotates about a center

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Let’s take a closer look at rotational symmetry Instead of splitting an object up we look to cut it into pieces from a “center of symmetry” This is done in such a way that each piece replicates itself as it’s rotated around

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One of the ways that lines of symmetry are used is in the process of drawing objects For instance This looks a lot like a reflection…

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A helpful Theorem for us to remember governs symmetry in regular polygons Theorem 5.20: Lines of symmetry in regular polygons The number of lines of symmetry in a regular n-gon is equal to the number of sides